18672192 has 168 divisors, whose sum is σ = 66885312. Its totient is φ = 4838400.

The previous prime is 18672187. The next prime is 18672221. The reversal of 18672192 is 29127681.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44142 + ... + 44562.

Almost surely, 2^18672192 is an apocalyptic number.

18672192 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18672192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33442656).

18672192 is an abundant number, since it is smaller than the sum of its proper divisors (48213120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

18672192 is a wasteful number, since it uses less digits than its factorization.

18672192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457 (or 444 counting only the distinct ones).

The product of its digits is 12096, while the sum is 36.

The square root of 18672192 is about 4321.1331847098. The cubic root of 18672192 is about 265.2966512985.

The spelling of 18672192 in words is "eighteen million, six hundred seventy-two thousand, one hundred ninety-two".